• DocumentCode
    1376528
  • Title

    Linear periodic systems: eigenvalue assignment using discrete periodic feedback

  • Author

    Al-rahmani, Hamed M. ; Franklin, Gene F.

  • Author_Institution
    Dept. of Electr. Eng., Stanford Univ., CA, USA
  • Volume
    34
  • Issue
    1
  • fYear
    1989
  • fDate
    1/1/1989 12:00:00 AM
  • Firstpage
    99
  • Lastpage
    103
  • Abstract
    The eigenvalue assignment problem of a T-periodic linear system using discrete periodic state feedback gains is discussed. For controllable systems, an explicit formula for the feedback law is given that can be used for the arbitrary assignment of the eigenvalues of Φc1(T,0), the closed-loop state transition matrix from 0 to T. For the special case of periodic systems controllable over one period, this control law can be used to obtain any desired Φc1(T,0)
  • Keywords
    discrete systems; eigenvalues and eigenfunctions; feedback; linear systems; time-varying systems; T-periodic linear system; closed-loop state transition matrix; discrete periodic feedback; eigenvalue assignment; time varying systems; Chemicals; Computational Intelligence Society; Control systems; Differential equations; Eigenvalues and eigenfunctions; Feedback control; Linear systems; Sampling methods; State feedback; Vectors;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.8657
  • Filename
    8657
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1376528